Extensions 1→N→G→Q→1 with N=D₁₄ and Q=C₂²

Direct product G=N×Q with N=D₁₄ and Q=C₂²

		d	ρ	Label	ID
C₂³×D₇		56		C2^3xD7	112,42

Semidirect products G=N:Q with N=D₁₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄⋊₁C₂² = C₂×D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out D₁₄	56		D14:1C2^2	112,29
D₁₄⋊₂C₂² = D₄×D₇	φ: C₂²/C₂ → C₂ ⊆ Out D₁₄	28	4+	D14:2C2^2	112,31
D₁₄⋊₃C₂² = C₂×C₇⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₁₄	56		D14:3C2^2	112,36

Non-split extensions G=N.Q with N=D₁₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₄.₁C₂² = C₄○D₂₈	φ: C₂²/C₂ → C₂ ⊆ Out D₁₄	56	2	D14.1C2^2	112,30
D₁₄.₂C₂² = D₄⋊₂D₇	φ: C₂²/C₂ → C₂ ⊆ Out D₁₄	56	4-	D14.2C2^2	112,32
D₁₄.₃C₂² = Q₈⋊₂D₇	φ: C₂²/C₂ → C₂ ⊆ Out D₁₄	56	4+	D14.3C2^2	112,34
D₁₄.₄C₂² = C₂×C₄×D₇	φ: trivial image	56		D14.4C2^2	112,28
D₁₄.₅C₂² = Q₈×D₇	φ: trivial image	56	4-	D14.5C2^2	112,33

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